Global existence for the two-dimensional Kuramoto-Sivashinsky equation with a shear flow
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Publication:2064576
DOI10.1007/s00028-021-00752-9zbMath1481.35250arXiv2103.02971OpenAlexW3214318368MaRDI QIDQ2064576
Michele Coti Zelati, Anna L. Mazzucato, M. Dolce, Yuanyuan Feng
Publication date: 6 January 2022
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.02971
global existenceperiodic boundary conditionsmild solutionsmixingtwo space dimensionsenhanced diffusiondiffusion timepresence of advection
Initial-boundary value problems for higher-order parabolic equations (35K35) Turbulent transport, mixing (76F25) Convection in hydrodynamic stability (76E06) Semilinear parabolic equations (35K58)
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Cites Work
- Suppression of chemotactic explosion by mixing
- Anisotropic estimates for the two-dimensional Kuramoto-Sivashinsky equation
- Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows
- Diffusion and mixing in fluid flow via the resolvent estimate
- Optimal bounds on the Kuramoto-Sivashinsky equation
- Partial differential equations. III: Nonlinear equations.
- Existence and generalized Gevrey regularity of solutions to the Kuramoto-Sivashinsky equation in \(\mathbb R^n\)
- Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
- The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
- Analyticity for the Kuramoto-Sivashinsky equation
- Enhanced dissipation and axisymmetrization of two-dimensional viscous vortices
- Suppressing chemotactic blow-up through a fast splitting scenario on the plane
- Spatial analyticity on the global attractor for the Kuramoto-Sivashinsky equation
- On the well-posedness of an anisotropically-reduced two-dimensional Kuramoto-Sivashinsky equation
- Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow
- Separation of time-scales in drift-diffusion equations on \(\mathbb{R}^2\)
- Global solutions of the two-dimensional Kuramoto-Sivashinsky equation with a linearly growing mode in each direction
- Linear inviscid damping and enhanced dissipation for the Kolmogorov flow
- Global existence and analyticity for the 2D Kuramoto-Sivashinsky equation
- Diffusion and mixing in fluid flow
- Analyticity for Kuramoto-Sivashinsky-type equations in two spatial dimensions
- Metastability and rapid convergence to quasi-stationary bar states for the two-dimensional Navier–Stokes equations
- Uncertainty estimates andL2bounds for the Kuramoto–Sivashinsky equation
- New Bounds for the Inhomogenous Burgers and the Kuramoto-Sivashinsky Equations
- Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
- Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains
- Suppression of Blow-Up in Patlak--Keller--Segel Via Shear Flows
- Bounds on mean energy in the Kuramoto–Sivashinsky equation computed using semidefinite programming
- Dissipation enhancement by mixing
- New bounds for the Kuramoto‐Sivashinsky equation
- Convection-induced singularity suppression in the Keller-Segel and other non-linear PDEs
- On the Relation between Enhanced Dissipation Timescales and Mixing Rates
- Pseudospectral and spectral bounds for the Oseen vertices operator
- Mixing and diffusion for rough shear flows
- Spectral Asymptotics for Large Skew-Symmetric Perturbations of the Harmonic Oscillator
